Search a number
-
+
313330323312 = 243219379730161
BaseRepresentation
bin1001000111100111111…
…00010100111101110000
31002221202112021121121100
410203303330110331300
520113200030321222
6355535244124400
731431421542606
oct4436374247560
91087675247540
10313330323312
11110978887526
1250885836700
1323715787596
14112456d5876
15823cb0e4ac
hex48f3f14f70

313330323312 has 120 divisors (see below), whose sum is σ = 923315524560. Its totient is φ = 98917079040.

The previous prime is 313330323289. The next prime is 313330323431. The reversal of 313330323312 is 213323033313.

313330323312 is a `hidden beast` number, since 3 + 1 + 3 + 330 + 323 + 3 + 1 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10373512 + ... + 10403672.

It is an arithmetic number, because the mean of its divisors is an integer number (7694296038).

Almost surely, 2313330323312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313330323312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461657762280).

313330323312 is an abundant number, since it is smaller than the sum of its proper divisors (609985201248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313330323312 is a wasteful number, since it uses less digits than its factorization.

313330323312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33991 (or 33982 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 313330323312 its reverse (213323033313), we get a palindrome (526653356625).

The spelling of 313330323312 in words is "three hundred thirteen billion, three hundred thirty million, three hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 3797 7594 11391 15188 22782 30161 30376 34173 45564 60322 60752 68346 72143 90483 91128 120644 136692 144286 180966 182256 216429 241288 271449 273384 288572 361932 432858 482576 542898 546768 573059 577144 649287 723864 865716 1085796 1146118 1154288 1298574 1447728 1719177 1731432 2171592 2292236 2597148 3438354 3462864 4343184 4584472 5157531 5194296 6876708 9168944 10315062 10388592 13753416 20630124 27506832 41260248 82520496 114521317 229042634 343563951 458085268 687127902 916170536 1030691853 1374255804 1832341072 2061383706 2175905023 2748511608 4122767412 4351810046 5497023216 6527715069 8245534824 8703620092 13055430138 16491069648 17407240184 19583145207 26110860276 34814480368 39166290414 52221720552 78332580828 104443441104 156665161656 313330323312